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Projective lag synchronization in drive-response dynamical networks

Ghada Al-Mahbashi (), Mohd Salmi Md Noorani () and Sakhinah Abu Bakar ()
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Ghada Al-Mahbashi: School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Selangor Darul Ehsan, Malaysia
Mohd Salmi Md Noorani: School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Selangor Darul Ehsan, Malaysia
Sakhinah Abu Bakar: School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Selangor Darul Ehsan, Malaysia

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 11, 1-11

Abstract: This paper investigates projective lag synchronization (PLS) behavior between chaotic systems in drive-response dynamical networks (DRDNs) model with nonidentical nodes. A hybrid feedback control method is designed to achieve the PLS with and without mismatched terms. Specially, the coupling matrix in this model is not assumed to be symmetric, diffusive or irreducible. The stability of the error dynamics is proven theoretically using the Lyapunov stability theory. Finally, analytical results show that the states of the dynamical network with non-delayed coupling can be asymptotically synchronized onto a desired scaling factor under the designed controller. Moreover, the numerical simulations results demonstrate the validity of the proposed method.

Keywords: Drive-response dynamical networks; projective lag synchronization; hybrid feedback control (search for similar items in EconPapers)
Date: 2014
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